Answer:
- 93.6 N in the 41° cable
- 155.6 N in the 63° cable
- 200 N in the vertical cable
Explanation:
Let T and U represent the tensions in the 41° and 63° cables, respectively. In order for the system to be stationary, the horizontal components of these tensions must balance, and the vertical components of these tensions must total 200 N.
Tcos(41°) =Ucos(63°) . . . . . balance of horizontal components
U = Tcos(41°)/cos(63°) . . . . write an expression for U
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The vertical components must total 200 N, so we have ....
Tsin(41°) +Usin(63°) = 200
Tsin(41°) +Tcos(41°)sin(63°)/cos(63°) = 200
T(sin(41°)cos(63°) +cos(41°)sin(63°))/cos(63°) = 200
T = 200cos(63°)/sin(41° +63°) ≈ 93.6 . . . newtons
U = 200cos(41°)/sin(41° +63°) ≈ 155.6 . . . newtons
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The vertical cable must have sufficient tension to balance the weight of the traffic light, so its tension is 200 N.
Then the tensions in the 3 cables are ...
41°: 93.6 N
63°: 155.6 N
90°: 200 N
People then didn't really think about gravity, they simply accept the fact that it exists, without realising. View this from another angle. When a teacher explains something in the classroom, most of the time we simply accept it, without asking why. That right there, is acceptance. We simply accept it. Everyone would know that if they let go of something, it would drop. However, only Isaac Newton stopped to question why. Hope this helps :)
Answer:
<h2>Angular Displacement 6.28 radians</h2>
Explanation:
for circular motion we are expected to solve for Angular Displacement it is measured in radian
Measurement of Angular Displacement.
we can measure it using the following relation
∅= s/r
where
s = the distance travelled by the body, and
r = radius of the circle along which it is moving.
given that
circumference c, s= 400 m
r= ?
we have to solve for the radius
we know that circumference
400= 2*3.142*r
400= 6.282*r
divide both sides by 6.284 we have
400/6.284
r= 63.63 m
Angular displcament
∅= 400/63.63
∅= 6.28 radians
